Kernel Method in Importance Sampling Density Estimation
The use of the kernel method to estimate the optimal importance sampling density is introduced. This method requires samples generated from an initial direct Monte Carlo run to construct...
A New Approximate Solution Technique for Random Vibration of Hysteretic Systems
Approximate probability densities are obtained for the response of hysteretic systems under Gaussian white-noise excitations. The method of analysis is applicable to either bilinear or...
Random Vibrations of Geometrically Nonlinear Finite Element Plates and Shells
A finite element formulation combined with stochastic linearization and normal mode methods are developed for the study of geometrically nonlinear random vibration characteristics of plate...
Consideration of Non-Gaussian Hysteretic Response Properties of MDOF-Systems by Use of Equivalent Linearization
The stationary stochastic response of nonlinear MDOF-systems is analysed by equivalent linearization (EQL). Non-Gaussian properties of the state vector y are taken into account by utilizing...
Non-Gaussian Closures For Non-Linear Finite Element Modelled Structures
In the framework of the finite element (FE) method, by using the 'total Lagrangian approach', the stochastic analysis of geometrically non-linear structures is...
Discrete Enforcement of Uncertain Oscillator Gaussian Response
A limited number of step-by-step procedures have been developed to recursively evaluate the response moments of uncertain systems. In several of these procedures, the recursive evaluation...
Response Variability of Isolated Structure Due to Randomness of Isolation Devices
Effect of randomness of restoring characteristics of an isolation device, which is considered to result from the randomness of material properties, configuration and setting error, on...
Higher Moments Descriptions of Uncertain Quantities in the Analysis of Structural Components
Maximum-entropy and asymptotic models for probability densities with application to the uncertain behavior of a structural component are considered. In particular, they are studied with...
System Identification Methods for Fault Detection and Diagnosis
Faults refer to any unexpected changes or modifications of existing structures resulting from extreme loads or other abnormal loading and environmental conditions. Such faults may effect...
Identification of Power Spectra?Linear and Nonlinear Approaches
Linear dynamical filter systems driven by white noise can be used for the generation of stationary and Gaussian processes. A linear approximation method proposed by W. Wedig is presented...
Application of Probabilistic Approach for Crack Growth Damage Accumulation in Metallic Structures
Two stochastic crack growth approaches (i.e., 'general' and 'analytical') are presented and evaluated for predicting the crack growth...
Reliability Analysis of Weldings Considering Defects
The welds generally represent the most critical part of large structural systems, i.e. offshore structures. Hence they affect significantly the structural reliability. A realistic model...
Stochastic Propagation of Semi-Elliptical Surface Cracks
Random propagation of a semi-elliptical surface crack is investigated as a bivariate stochastic process. Under a few assumptions, a probability distribution of the surface crack propagation...
Damage Process of Composite Material with Randomly Oriented Fibers
A numerical procedure is formulated to make clear the damage process of composite materials with randomly oriented fibers. These composites often have complicated fiber oriented states,...
The Effects of Thermal Variation in Fracture Toughness
Environmental temperature changes produce cyclic and thermal stresses in cylindrical structures. The probability of failure defined as the chance that a crack, growing under the influence...
A Computationally Efficient Solution Procedure for Stationary Two-State Problems in Stochastic Mechanics
A numerical procedure is presented for the solution of stationary two-state Markov process problems with a single source. The proposed solution method combines finite element and finite...
Two Principles for Data Based Probabilistic System Analysis
A major problem in probabilistic system analysis is to find a self-consistent method of inference about probabilities based on a random sample of system state variables. Such a method...
On the Application of Conditional Integration in Structural Reliability Analysis
An accurate, and efficient computational procedure is proposed for structural reliability analysis. The suggested advanced Monte-Carlo simulation utilizes the concept of conditional integration...
Structural Reliability of Wood Beam-Columns
A formulation for reliability-based design procedures of wood columns and beam columns is presented. The load carrying capacity of these structural members is obtained using a non-linear...
Probabilistic Approach to Stress Distributions for Orthotropic Wood Plates
Probabilistic approach to the stress distributions of an orthotropic wood plate is discussed. The stress distributions for the orthotropic elastic media are fully dependent of the material...
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